Quantifying the effects of multiple processes on local abundance: a cohort approach for open populations

A challenge for species with demographically open populations is to evaluate the relative importance of various processes that together set local abundance. We developed a cohort-based framework for quantifying the influence of an external supply of colonists and subsequent density-independent and density-dependent mortality on local abundance. Two complementary approaches - based on limitation and elasticity - revealed the nature of interactions and nonlinearities among these processes. Data for an Indo-Pacific reef fish were used to document the settler-survivor relationship and to quantify natural variation in settlement. Limitation by density-dependence was two-fold and 20-fold greater than by supply or density-independent mortality, respectively. Elasticity analyses showed that adult abundance was 40% more sensitive to small proportionate changes in supply than in density-dependence. These techniques provide a way to compare across systems, which could enhance our ability to draw general conclusions regarding the processes that shape local abundance of species with open populations.